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Finding the Fourth Proportional to 6,976.02, 9,627.54 and 4,586.12

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Solution

The fourth proportional to 6,976.02, 9,627.54 and 4,586.12 is: 6,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.02 : 9,627.54 = 4,586.12 : x
  2. Step 2: Convert to fraction form
    6,976.02/9,627.54 = 4,586.12/x
  3. Step 3: Cross multiply
    6,976.02x = 9,627.54 × 4,586.12
  4. Step 4: Simplify right side
    6,976.02x = 44,153,005.61
  5. Step 5: Solve for x
    x = 44,153,005.61/6,976.02
  6. Step 6: Final answer
    x = 6,329.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.